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Finding the Fourth Proportional to 635.73, 953.73 and 202.89

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Solution

The fourth proportional to 635.73, 953.73 and 202.89 is: 304.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.73 : 953.73 = 202.89 : x
  2. Step 2: Convert to fraction form
    635.73/953.73 = 202.89/x
  3. Step 3: Cross multiply
    635.73x = 953.73 × 202.89
  4. Step 4: Simplify right side
    635.73x = 193,502.28
  5. Step 5: Solve for x
    x = 193,502.28/635.73
  6. Step 6: Final answer
    x = 304.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.